English

Some nilpotence theorems for algebraic cycles

Algebraic Geometry 2018-02-15 v3

Abstract

Using fundamental results of Deligne, we prove a nilpotence theorem for algebraic cycles and use this to prove a torsion nilpotence result for correspondences on surfaces.

Keywords

Cite

@article{arxiv.1708.05731,
  title  = {Some nilpotence theorems for algebraic cycles},
  author = {Humberto A. Diaz},
  journal= {arXiv preprint arXiv:1708.05731},
  year   = {2018}
}

Comments

10 pages, more errors corrected. Some applications have been removed since they cannot be proved using the main result; these applications will be proved independently in a future paper

R2 v1 2026-06-22T21:18:16.525Z